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Vehicle routing problems, a comprehensive problem category originated fromthe seminal Chinese Postman Problem (first investigated by Chinesemathematician Mei-Gu Guan), entail strategic and tactical decision making forefficient scheduling and routing of vehicles. While Chinese postman problem isaimed at finding the minimum length cycle for a single postman, the broaderchallenges encompass scenarios with multiple postmen. Making cost-effectivedecisions in such cases depends on various factors, including vehicle sizes andtypes, vehicle usage time, road tax variations across routes, and more. In thiswork, we delve into a class of such problems wherein Bell nonlocal correlationsprovide advantages in optimizing the costs for non-communicating postmen, andthus establish a nascent utilization of quantum entanglement in traffic routingproblem. Our investigation unveils promising applications for nonlocalcorrelations within combinatorial optimization and operational researchproblems, which otherwise have predominantly been explored within the quantumfoundation and quantum information theory community.

When Mei-Gu Guan's 1960 Postmen Get Empowered with Bell's 1964 Nonlocal Correlations, or, Nonlocal Advantage in Vehicle Routing Problem